A marvellous little book.
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Nice book, very entertaining.
I am only on the second chapter ( on metric spaces ) but am finding it interesting enough that I am staying up late reading it. It is very well written and clear.
I have minimal mathematical background ( just a little calculus and linear algebra ) and and sadly lacking in knowledge of analysis, but still find this book understandable.
This is well worth the modest cost.
Heck, this is worth ten times the modest cost !
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excellent, elegant, economical
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This is an excellent book. It is very elegantly written and provides precise understanding of the mathematical concepts required to move from the basic idea of a set to the ideas of topological spaces, via metric spaces. The six chapters deal with the mathematical concepts clearly and advance the reader's understanding in clear steps. Each chapter divides into sections and the end of each section is a small but comprehensive set of problems which illuminate and extend the section's ideas very successfully. Given the abstract nature of the material it would be difficult to read successfully without attempting the problems. The author does not pull any punches with the axiomatic approach required to do this sort of mathematics but neither is the exposition over-formal: the reader benefits greatly from the author's obvious experience of teaching.
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Ideal for self-study
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This book is ideal for self-study. If you have not had the luxury of taking a topology course during your undergraduate studies, but you need to know some topology and you have to study it by yourself, this is the book you need. It is very readable and it explains carefully every concept. However, it is just an introductory text and it contains only basic material. You don't have to invest a lot of time to study the material in this book: let's say 40-60 hours of study are enough to grasp everything. I reccomend it especially to those graduate students of applied mathematics, finance, statistics or economics, who need to use some basic result from topology in their work.
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United Kingdom | 
Canada